Solutions of an extended KdV equation describing single stationary waves with strong or weak downstream decay in turbulent open‐channel flow

DOI10.1002/ZAMM.201700040OpenAlexW2747578527MaRDI QIDQ6064305

Markus Muellner

Publication date: 12 December 2023

Published in: ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/zamm.201700040

zbMATH Keywords

solitary wavesKorteweg-de Vries equationfree-surface flownear-critical turbulent flow

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Solitary waves for incompressible inviscid fluids (76B25) Asymptotic expansions of solutions to ordinary differential equations (34E05)

Related Items (1)

Near-critical turbulent open-channel flows over bumps and ramps

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Exploring the connection between quasistationary and squared eigenfunction expansion techniques in soliton perturbation theory
• A supraconvergent scheme for the Korteweg-de Vries equation
• Cnoidal wave trains and solitary waves in a dissipation-modified Korteweg-de Vries equation
• Damping of large-amplitude solitary waves
• Undular hydraulic jumps arising in non-developed turbulent flows
• The undular hydraulic jump in turbulent open channel flow at large Reynolds numbers
• Shelves and the Korteweg-de Vries equation
• A multiple scales analysis of the undular hydraulic jump in turbulent open channel flow
• Multiple scales analysis of the steady-state Korteweg-de Vries equation perturbed by a damping term
• Evolution of solitary waves and undular bores in shallow-water flows over a gradual slope with bottom friction
• Solitary waves in turbulent open-channel flow
• Internal solitary waves in a variable medium
• Derivative formulae and errors for non-uniformly spaced points
• Dissipative Effects on Nonlinear Waves in Rotating Fluids
• Shallow Water Waves on a Viscous Fluid—The Undular Bore
• Amplification and decay of long nonlinear waves
• On cnoidal waves and bores

This page was built for publication: Solutions of an extended KdV equation describing single stationary waves with strong or weak downstream decay in turbulent open‐channel flow